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Just to confirm one of your comments above -- "Yes, we can sum/subtract/multiply equations." -- would this be valid for the problem even if one of the equations didn't have any common variables. What I mean is, if the equations read:

Just to confirm one of your comments above -- "Yes, we can sum/subtract/multiply equations." -- would this be valid for the problem even if one of the equations didn't have any common variables. What I mean is, if the equations read:

Re: In the table above, what is the number of green marbles in J [#permalink]
21 Nov 2014, 02:28

From the given table we could make equations like Equation 1. Given x+y=80 ----> x=80-yEquation2. Given y+z=120Equation3. Given x+z = 160Substituting the value of x in Equation 3 from Equation 1Equation 4. (80-y)+z=160 ----> -y+z = 80Adding Equation 2 and Equation 42z=200 ---> Z=100.